Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Tahar, Guillaume"'
Autor:
Panov, Dmitri, Tahar, Guillaume
In their solution to the orchard-planting problem, Green and Tao established a structure theorem which proves that in a line arrangement in the real projective plane with few double points, most lines are tangent to the dual curve of a cubic curve. W
Externí odkaz:
http://arxiv.org/abs/2409.01892
A linear differential operator $T=Q(z)\frac{d}{dz}+P(z)$ with polynomial coefficients defines a continuous family of Hutchinson operators when acting on the space of positive powers of linear forms. In this context, $T$ has a unique minimal Hutchinso
Externí odkaz:
http://arxiv.org/abs/2406.10963
Autor:
Kohli, Ben-Michael, Tahar, Guillaume
The Links-Gould invariant of links $LG^{2,1}$ is a two-variable generalization of the Alexander-Conway polynomial. Using representation theory of $U_{q}\mathfrak{gl}(2 \vert 1)$, we prove that the degree of the Links-Gould polynomial provides a lower
Externí odkaz:
http://arxiv.org/abs/2310.15617
Autor:
Lee, Myeongjae, Tahar, Guillaume
In projectivized strata of meromorphic $1$-forms on elliptic curves with only one zero, the locus of residueless differentials is a complex curve endowed with a canonical complex projective structure. Drawing on the multi-scale compactification of st
Externí odkaz:
http://arxiv.org/abs/2310.13128
Autor:
Fu, Kai, Tahar, Guillaume
We consider a flat metric with conical singularities on the sphere. Assuming no partial sum of angle defects is equal to $2\pi$, we draw on the geometry of immersed disks to obtain an explicit upper bound on the number of saddle connections with at m
Externí odkaz:
http://arxiv.org/abs/2308.08940
On a Riemann surface, periods of a meromorphic differential along closed loops define a period character from the absolute homology group into the additive group of complex numbers. Fixing the period character in strata of meromorphic differentials d
Externí odkaz:
http://arxiv.org/abs/2305.06761
Autor:
Chéritat, Arnaud, Tahar, Guillaume
For a smooth manifold endowed with a (similarity) pseudo-Euclidean structure, a stiff connection $\nabla$ is a symmetric affine connection such that geodesics of $\nabla$ are straight lines of the pseudo-Euclidean structure while the first-order infi
Externí odkaz:
http://arxiv.org/abs/2302.12543
Autor:
Chéritat, Arnaud, Tahar, Guillaume
This article studies a particular process that approximates solutions of the Beltrami equation (straightening of ellipse fields, a.k.a. measurable Riemann mapping theorem) on $\mathbb{C}$. It passes through the introduction of a sequence of similarit
Externí odkaz:
http://arxiv.org/abs/2212.12614
Autor:
Gendron, Quentin, Tahar, Guillaume
We study the local invariants that a meromorphic k-differential on a Riemann surface of genus greater or equal to zero can have for k greater or equal to 3. These local invariants are the orders of zeros and poles, and the k-residues at the poles. We
Externí odkaz:
http://arxiv.org/abs/2208.11654
Publikováno v:
Journal of Differential Equations 391, (2024) 265-320
In this paper, we initiate the study of a new interrelation between linear ordinary differential operators and complex dynamics which we discuss in details in the simplest case of operators of order $1$. Namely, assuming that such an operator $T$ has
Externí odkaz:
http://arxiv.org/abs/2202.10197